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Finding the Fourth Proportional to 400,792.68, 597,652.36 and 397,193.24

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Solution

The fourth proportional to 400,792.68, 597,652.36 and 397,193.24 is: 592,284.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,792.68 : 597,652.36 = 397,193.24 : x
  2. Step 2: Convert to fraction form
    400,792.68/597,652.36 = 397,193.24/x
  3. Step 3: Cross multiply
    400,792.68x = 597,652.36 × 397,193.24
  4. Step 4: Simplify right side
    400,792.68x = 237,383,477,262.05
  5. Step 5: Solve for x
    x = 237,383,477,262.05/400,792.68
  6. Step 6: Final answer
    x = 592,284.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.